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Physical Math Course

Physical Math Course
flexible workload from 4 to 360h
valid certificate in your country

What will I learn?

This Physical Math Course equips you with essential tools for Gaussian integrals, analytic continuation, and ladder operator algebra. Learners handle dimensionless Schrödinger equations, normal order x⁴ terms, and non-degenerate perturbation theory, while evaluating series expansions and asymptotic behaviour to determine reliable first-order corrections in practical computations.

Elevify advantages

Develop skills

  • Master Gaussian integrals for oscillator norms with complex parameters.
  • Apply ladder operators to construct eigenstates and compute x, p, number operators.
  • Normal-order x⁴ to simplify vacuum and excited-state expectations.
  • Implement perturbation theory for first-order energy shifts in anharmonic oscillators.
  • Rescale Schrödinger equations into stable, dimensionless numerical models.

Suggested summary

Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

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